When applying the supersonic area rule, the condition that the plane defining the cross-section meet the longitudinal axis at the Mach angle μ no longer prescribes a unique plane for μ other than the 90 ° given by M

When he returned to Poland he began applying for legal positions with little success.

When a crystal of quartz is properly cut and mounted, it can be made to distort in an electric field by applying a voltage to an electrode near or on the crystal.

When applying prefixes to derived units of area and volume that are expressed in terms of units of length squared or cubed, the square and cube operators are applied to the unit of length including the prefix, as illustrated here:

When the patient enters the operating room, the skin surface to be operated on, called the operating field, is cleaned and prepared by applying an antiseptic such as chlorhexidine gluconate or povidone-iodine to reduce the possibility of infection.

When Stone Age humans first took a sliver of flint to tip the spear, it was the first example of applying technology to improve the weapon.

When applying for a loan ( mortgage, consumer loan ), lenders may take into consideration a high-income applicant's discretionary income in order to assess the loan repayment capacity of the applicant.

When eradication has been unsuccessful and the disease has become established, management options include replacing susceptible citrus cultivars with resistant cultivars, applying preventive sprays of copper-based bactericides, and destroying infected trees and all surrounding trees within an appropriate radius.

When applying a transform to a surface it is sometimes convenient to derive normals for the

When applying the rule to current in a straight wire for example, the direction of the magnetic field ( counterclockwise instead of clockwise when viewed from the tip of the thumb ) is a result of this convention and not an underlying physical phenomenon.

When applying spectral methods to time-dependent PDEs, the solution is typically written as a sum of basis functions with time-dependent coefficients ; substituting this in the PDE yields a system of ODEs in the coefficients which can be solved using any numerical method for ODEs.

When applying the Riemann constant in sigma mathematics, or when using integrals, it is a common practice to apply the quadratic function when ascertaining the equation's alpha variable.

# When Westminster is considering legislation applying to Scotland but which relates to both devolved and reserved matters, where it would otherwise be necessary for the Scottish Parliament to legislate to complete the jigsaw.

When applying to the state, it should be understood as the Lie derivative if the vector bundle is equipped with non-vanishing connection.

When used for food preparation, the main uses are slicing ( cutting by drawing the blade across the object, applying light pressure ) and chopping ( cutting by pushing the blade through object ), with some piercing ( using the tip to cut through the surface ).

When held fixed in a gravitational field by, for example, applying a ground reaction force or an equivalent upward thrust, the reference frame for an accelerometer ( its own casing ) accelerates upwards with respect to a free-falling reference frame.

( When applying for the job, he reported himself as a member of the Evangelical Lutheran Church ; three years earlier his CV had said he was of Jewish faith.

When applying Buddhist philosophy to the question of homosexuality, western Buddhists often emphasize the importance the Buddha placed on tolerance, compassion, and seeking answers within one's self.

When applying for a firearm certificate, justification must be provided to the police for each firearm, and they are individually listed on the certificate by type, calibre, and serial number.

When space efficiency is not a concern, these schemes can be used to reveal a secret to any desired subsets of the players simply by applying the scheme for each subset.

When applying a siphon to any application it is important that the piping be as closely sized to the requirement as possible.

When applying to gymnasium ( high schools ) or universities, a meritvärde, “ meritous point value ”, is calculated.

When they audition for the school, they can audition for more than one department and may be accepted for multiple departments but when applying must choose one.

When applying for many jobs, employers will often request a copy of the DD 214.

When a link-state advertisement is received at a node, the node looks up the sequence number it has stored for the source of that link-state message.

When analyzing the efficiency of algorithms that use stacks, one may also specify that all operations take the same time no matter how many items have been pushed into the stack, and that the stack uses a constant amount of storage for each element.

When they are both large, for instance more than 2000 bits long, randomly chosen, and about the same size ( but not too close, e. g. to avoid efficient factorization by Fermat's factorization method ), even the fastest prime factorization algorithms on the fastest computers can take enough time to make the search impractical ; that is, as the number of digits of the primes being factored increases, the number of operations required to perform the factorization on any computer increases drastically.

When considering a new application, the engineer can compare multiple learning algorithms and experimentally determine which one works best on the problem at hand ( see cross validation.

When the coefficients belong to a finite field or are rational numbers, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials.

When analyzing algorithms which often take a small time to complete, but periodically require a much larger time, amortized analysis can be used to determine the worst-case running time over a ( possibly infinite ) series of operations.

When the number of control points exceeds the minimum required to define the appropriate transformation model, iterative algorithms like RANSAC can be used to robustly estimate the parameters of a particular transformation type ( e. g. affine ) for registration of the images.

When applied to a stack of images, typical in medical imaging, the resulting contours after image segmentation can be used to create 3D reconstructions with the help of interpolation algorithms like Marching cubes.

When non-flooding scheduling algorithms are used, an alternative definition of iteration is used.

When such an algorithm exists for both a problem and its complement ( with the answers " yes " and " no " swapped ), the two algorithms can be run simultaneously and repeatedly: a few steps of each, taking turns, until one of them returns a definitive answer.

When performing any of these multiplication algorithms the following " steps " should be applied.

When working with large values of exponent, this offers a substantial speed benefit over both of the previous two algorithms.

When efficiently implemented, it is fast enough that its benefits usually justify including it as an extra step in data compression algorithms.

When viewed in terms of approximation algorithms, connected domination and maximum leaf spanning trees are not the same: approximating one to within a given approximation ratio is not the same as approximating the other to the same ratio.

When they stood about his tent, chaffing each other, exchanging their obscenities, cursing command or weather, he had studied their faces.

When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.

When this experiment is viewed as composed of five binomial trials, one for each member of the family, the outcomes of the trials are obviously not independent.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

When we examine what each master says was his first collage we see that much the same thing happens in each.

When a specific allophone ( from a set of allophones that correspond to a phoneme ) must be selected in a given context ( i. e. using a different allophone for a phoneme will cause confusion or make the speaker sound non-native ), the allophones are said to be complementary ( i. e. the allophones complement each other, and one is not used in a situation where the usage of another is standard ).

When a PAP connection was opened, each end sent the other an ATP request which basically meant " send me more data ".

When Joshua read the Law to the people between Mount Gerizim and Mount Ebal, they stood on each side of the Ark.

When a group of different plant species was prompted by a variety of different stress signals, such as drought or cold, each plant responded uniquely.

When an ATM circuit is set up each switch on the circuit is informed of the traffic class of the connection.

When this woman wanted to buy a golden necklace ( no name given ) forged by four dwarves ( named Dvalinn, Alfrik, Berling, and Grer ), she offered them gold and silver but they replied that they would only sell it to her if she would lie a night by each of them.

: When, after the action had thus occurred, his own men returned to each general, Scipio could adopt no fixed plan of proceeding, except that he should form his measures from the plans and undertakings of the enemy: and Hannibal, uncertain whether he should pursue the march he had commenced into Italy, or fight with the Roman army which had first presented itself, the arrival of ambassadors from the Boii, and of a petty prince called Magalus, diverted from an immediate engagement ; who, declaring that they would be the guides of his journey and the companions of his dangers, gave it as their opinion, that Italy ought to be attacked with the entire force of the war, his strength having been nowhere previously impaired.

When the Laplace transform is performed on a discrete-time signal ( with each element of the discrete-time sequence attached to a correspondingly delayed unit impulse ), the result is precisely the Z transform of the discrete-time sequence with the substitution of

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When LTR text is mixed with RTL in the same paragraph, each type of text is written in its own direction, which is known as bi-directional text.

When an element has allotropes with different densities, one representative allotrope is typically selected in summary presentations, while densities for each allotrope can be stated where more detail is provided.

When they first race against each other, Liddell beats Abrahams.

When a tile of this pair is played individually in the game of Tien Gow, each takes its regular ranking among other military suit tiles according to the total points.

When the partial pressure of is reduced, for example when a can of soda is opened, the equilibrium for each of the forms of carbonate ( carbonate, bicarbonate, carbon dioxide, and carbonic acid ) shifts until the concentration of in the solution is equal to the solubility of CO < sub > 2 </ sub > at that temperature and pressure.

When playing teams, teammates usually sit at opposite corners of the star, with each team member controlling his / her own set of pieces.

When a user with a low bitrate codec talks to a user with another codec, additional distortion is introduced by each transcoding.

When a game goes to overtime, each team is given one possession from its opponent's twenty-five yard line with no game clock, despite the one timeout per period and use of play clock.

When a computer allows the use of folders, each file and folder has not only a name of its own, but also a path, which identifies the folder or folders in which a file or folder resides.